Bridge to Advanced Mathematics
This course explores the logical and foundational structures of mathematics, with an emphasis on understanding and writing proofs. Topics include set theory, logic, mathematical induction, relations and orders, functions, Cantor's theory of countability, and development of the real number system. For more details, see here .
Office Hours
Lecture Notes
MATH 308 — Exam II Review
MATH 308 — Lec 14 — Equivalence Relations
MATH 308 — Lec 13 — Relations
MATH 308 — Lec 12 — Strong Induction
MATH 308 — Lec 11 — Mathematical Induction
MATH 308 — Lec 10 — Counterexamples & Uniqueness
MATH 308 — Lec 9 — Existence & Contradiction
MATH 308 — Lec 8 — Proofs with Reals & Sets
MATH 308 — Exam I Review
MATH 308 — Lec 7 — Divisibility & Congruence
MATH 308 — Lec 6 — Proof by Cases; Biconditionals
MATH 308 — Lec 5 — Direct Proof & Contrapositive
MATH 308 — Lec 4 — Logic II (Quantifiers)
MATH 308 — Lec 3 — Logic I (Statements & Implications)
MATH 308 — Lec 01 and Lec 02 — Sets I (Describing, Subsets, Operations)